TSTP Solution File: SYN068+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN068+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:36:47 EDT 2022
% Result : Theorem 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 67 ( 26 ~; 13 |; 23 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 29 ( 16 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,plain,
$false,
inference(subsumption_resolution,[],[f24,f21]) ).
fof(f21,plain,
big_f(sK0),
inference(resolution,[],[f14,f15]) ).
fof(f15,plain,
big_j(sK0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X1] :
( ~ big_g(X1)
| big_h(sK0,X1) )
& big_j(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f8]) ).
fof(f8,plain,
( ? [X0] :
( ! [X1] :
( ~ big_g(X1)
| big_h(X0,X1) )
& big_j(X0) )
=> ( ! [X1] :
( ~ big_g(X1)
| big_h(sK0,X1) )
& big_j(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
? [X0] :
( ! [X1] :
( ~ big_g(X1)
| big_h(X0,X1) )
& big_j(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
? [X0] :
( ! [X1] :
( big_g(X1)
=> big_h(X0,X1) )
& big_j(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44_2) ).
fof(f14,plain,
! [X0] :
( ~ big_j(X0)
| big_f(X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0] :
( big_f(X0)
| ~ big_j(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ? [X0] :
( big_j(X0)
& ~ big_f(X0) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
? [X0] :
( big_j(X0)
& ~ big_f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44) ).
fof(f24,plain,
~ big_f(sK0),
inference(resolution,[],[f23,f20]) ).
fof(f20,plain,
! [X0] :
( big_g(sK1(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ~ big_f(X0)
| ( big_g(sK1(X0))
& ~ big_h(X0,sK1(X0))
& big_h(X0,sK2(X0))
& big_g(sK2(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f10,f12,f11]) ).
fof(f11,plain,
! [X0] :
( ? [X1] :
( big_g(X1)
& ~ big_h(X0,X1) )
=> ( big_g(sK1(X0))
& ~ big_h(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X0] :
( ? [X2] :
( big_h(X0,X2)
& big_g(X2) )
=> ( big_h(X0,sK2(X0))
& big_g(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
! [X0] :
( ~ big_f(X0)
| ( ? [X1] :
( big_g(X1)
& ~ big_h(X0,X1) )
& ? [X2] :
( big_h(X0,X2)
& big_g(X2) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,plain,
! [X0] :
( ~ big_f(X0)
| ( ? [X2] :
( big_g(X2)
& ~ big_h(X0,X2) )
& ? [X1] :
( big_h(X0,X1)
& big_g(X1) ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( big_f(X0)
=> ( ? [X2] :
( big_g(X2)
& ~ big_h(X0,X2) )
& ? [X1] :
( big_h(X0,X1)
& big_g(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel44_1) ).
fof(f23,plain,
~ big_g(sK1(sK0)),
inference(subsumption_resolution,[],[f22,f21]) ).
fof(f22,plain,
( ~ big_f(sK0)
| ~ big_g(sK1(sK0)) ),
inference(resolution,[],[f19,f16]) ).
fof(f16,plain,
! [X1] :
( big_h(sK0,X1)
| ~ big_g(X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
! [X0] :
( ~ big_h(X0,sK1(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN068+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 21:36:30 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.47 % (29130)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.47 % (29138)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.15/0.47 TRYING [1]
% 0.15/0.47 % (29148)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.15/0.48 % (29148)First to succeed.
% 0.15/0.48 % (29145)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.15/0.48 % (29139)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.15/0.48 TRYING [2]
% 0.15/0.48 TRYING [3]
% 0.15/0.48 % (29130)Also succeeded, but the first one will report.
% 0.15/0.48 % (29148)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Theorem for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (29148)------------------------------
% 0.15/0.48 % (29148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (29148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (29148)Termination reason: Refutation
% 0.15/0.48
% 0.15/0.48 % (29148)Memory used [KB]: 5373
% 0.15/0.48 % (29148)Time elapsed: 0.068 s
% 0.15/0.48 % (29148)Instructions burned: 1 (million)
% 0.15/0.48 % (29148)------------------------------
% 0.15/0.48 % (29148)------------------------------
% 0.15/0.48 % (29123)Success in time 0.165 s
%------------------------------------------------------------------------------